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Finding the Fourth Proportional to 233.25, 348.19 and 207.51

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Solution

The fourth proportional to 233.25, 348.19 and 207.51 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 348.19 = 207.51 : x
  2. Step 2: Convert to fraction form
    233.25/348.19 = 207.51/x
  3. Step 3: Cross multiply
    233.25x = 348.19 × 207.51
  4. Step 4: Simplify right side
    233.25x = 72,252.91
  5. Step 5: Solve for x
    x = 72,252.91/233.25
  6. Step 6: Final answer
    x = 309.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.